Hellinger integral: Difference between revisions
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*{{Citation | last1=Hellinger | first1=E. | title=Neue Begründung der Theorie quadratischer Formen von unendlichvielen Veränderlichen | url=http://resolver.sub.uni-goettingen.de/purl?GDZPPN002166941 | year=1909 | journal= J. Reine Angew. Math | volume=136 | pages=210–271}} |
*{{Citation | last1=Hellinger | first1=E. | title=Neue Begründung der Theorie quadratischer Formen von unendlichvielen Veränderlichen | url=http://resolver.sub.uni-goettingen.de/purl?GDZPPN002166941 | year=1909 | journal= J. Reine Angew. Math | volume=136 | pages=210–271}} |
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{{Citation | last1=Hobson | first1=E. W. | title=The theory of functions of a real variable and the theory of Fourier's series. Vol. I | url=http://books.google.com/books?id=LCc9AAAAIAAJ | publisher=[[Dover Publications]] | location=New York | id={{MR|0092828}} | year=1958}} |
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*{{eom|id=h/h046900|first=I.A.|last= Vinogradova}} |
*{{eom|id=h/h046900|first=I.A.|last= Vinogradova}} |
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{{integral}} |
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Revision as of 02:14, 14 October 2011
In mathematics, the Hellinger integral is an integral introduced by Hellinger (1909) that is a special case of the Kolmogorov integral. It is used to define the Hellinger distancein probability theory.
References
- Hellinger, E. (1909), "Neue Begründung der Theorie quadratischer Formen von unendlichvielen Veränderlichen", J. Reine Angew. Math, 136: 210–271
Hobson, E. W. (1958), The theory of functions of a real variable and the theory of Fourier's series. Vol. I, New York: Dover Publications, MR0092828
- Vinogradova, I.A. (2001) [1994], "Hellinger integral", Encyclopedia of Mathematics, EMS Press